I have a question to the sample input:
0.0 0.0
2.0 0.0
2.0 2.0
0.0 2.0
because it is written:
"The nails are described in a clockwise"
whereas in my opinion in this example points aren't given in clockwise order. Am I wrong?
Please explain my this problem.

Looking again on the problem statement, I think its written : The nails are described either in a clockwise or in a counterclockwise